Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1950,2,Mod(751,1950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1950, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1950.751");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1950 = 2 \cdot 3 \cdot 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1950.bc (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(15.5708283941\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 78) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 751.1 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1950.751 |
Dual form | 1950.2.bc.d.901.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1950\mathbb{Z}\right)^\times\).
\(n\) | \(301\) | \(1301\) | \(1327\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.612372 | + | 0.353553i | ||||
\(3\) | 0.500000 | + | 0.866025i | 0.288675 | + | 0.500000i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.866025 | − | 0.500000i | −0.353553 | − | 0.204124i | ||||
\(7\) | −0.633975 | − | 0.366025i | −0.239620 | − | 0.138345i | 0.375382 | − | 0.926870i | \(-0.377511\pi\) |
−0.615002 | + | 0.788526i | \(0.710845\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.09808 | + | 2.36603i | −1.23562 | + | 0.713384i | −0.968195 | − | 0.250196i | \(-0.919505\pi\) |
−0.267421 | + | 0.963580i | \(0.586172\pi\) | |||||||
\(12\) | 1.00000 | 0.288675 | ||||||||
\(13\) | −2.59808 | − | 2.50000i | −0.720577 | − | 0.693375i | ||||
\(14\) | 0.732051 | 0.195649 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.13397 | − | 1.96410i | 0.275029 | − | 0.476365i | −0.695113 | − | 0.718900i | \(-0.744646\pi\) |
0.970143 | + | 0.242536i | \(0.0779791\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | −1.09808 | − | 0.633975i | −0.251916 | − | 0.145444i | 0.368725 | − | 0.929538i | \(-0.379794\pi\) |
−0.620641 | + | 0.784095i | \(0.713128\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 0.732051i | − | 0.159747i | ||||||
\(22\) | 2.36603 | − | 4.09808i | 0.504438 | − | 0.873713i | ||||
\(23\) | 3.09808 | + | 5.36603i | 0.645994 | + | 1.11889i | 0.984071 | + | 0.177775i | \(0.0568901\pi\) |
−0.338078 | + | 0.941118i | \(0.609777\pi\) | |||||||
\(24\) | −0.866025 | + | 0.500000i | −0.176777 | + | 0.102062i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 3.50000 | + | 0.866025i | 0.686406 | + | 0.169842i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −0.633975 | + | 0.366025i | −0.119810 | + | 0.0691723i | ||||
\(29\) | −1.23205 | − | 2.13397i | −0.228786 | − | 0.396269i | 0.728663 | − | 0.684873i | \(-0.240142\pi\) |
−0.957449 | + | 0.288604i | \(0.906809\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 5.46410i | − | 0.981382i | −0.871334 | − | 0.490691i | \(-0.836744\pi\) | ||
0.871334 | − | 0.490691i | \(-0.163256\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | −4.09808 | − | 2.36603i | −0.713384 | − | 0.411872i | ||||
\(34\) | 2.26795i | 0.388950i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.500000 | + | 0.866025i | 0.0833333 | + | 0.144338i | ||||
\(37\) | 9.06218 | − | 5.23205i | 1.48981 | − | 0.860144i | 0.489881 | − | 0.871789i | \(-0.337040\pi\) |
0.999932 | + | 0.0116456i | \(0.00370701\pi\) | |||||||
\(38\) | 1.26795 | 0.205689 | ||||||||
\(39\) | 0.866025 | − | 3.50000i | 0.138675 | − | 0.560449i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.86603 | − | 5.69615i | 1.54081 | − | 0.889590i | 0.542027 | − | 0.840361i | \(-0.317657\pi\) |
0.998788 | − | 0.0492283i | \(-0.0156762\pi\) | |||||||
\(42\) | 0.366025 | + | 0.633975i | 0.0564789 | + | 0.0978244i | ||||
\(43\) | −3.83013 | + | 6.63397i | −0.584089 | + | 1.01167i | 0.410899 | + | 0.911681i | \(0.365215\pi\) |
−0.994988 | + | 0.0999910i | \(0.968119\pi\) | |||||||
\(44\) | 4.73205i | 0.713384i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.36603 | − | 3.09808i | −0.791177 | − | 0.456786i | ||||
\(47\) | − | 8.19615i | − | 1.19553i | −0.801671 | − | 0.597766i | \(-0.796055\pi\) | ||
0.801671 | − | 0.597766i | \(-0.203945\pi\) | |||||||
\(48\) | 0.500000 | − | 0.866025i | 0.0721688 | − | 0.125000i | ||||
\(49\) | −3.23205 | − | 5.59808i | −0.461722 | − | 0.799725i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.26795 | 0.317576 | ||||||||
\(52\) | −3.46410 | + | 1.00000i | −0.480384 | + | 0.138675i | ||||
\(53\) | −0.464102 | −0.0637493 | −0.0318746 | − | 0.999492i | \(-0.510148\pi\) | ||||
−0.0318746 | + | 0.999492i | \(0.510148\pi\) | |||||||
\(54\) | 0.866025 | − | 0.500000i | 0.117851 | − | 0.0680414i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.366025 | − | 0.633975i | 0.0489122 | − | 0.0847184i | ||||
\(57\) | − | 1.26795i | − | 0.167944i | ||||||
\(58\) | 2.13397 | + | 1.23205i | 0.280205 | + | 0.161776i | ||||
\(59\) | 6.92820 | + | 4.00000i | 0.901975 | + | 0.520756i | 0.877841 | − | 0.478953i | \(-0.158984\pi\) |
0.0241347 | + | 0.999709i | \(0.492317\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.598076 | + | 1.03590i | −0.0765758 | + | 0.132633i | −0.901770 | − | 0.432215i | \(-0.857732\pi\) |
0.825195 | + | 0.564848i | \(0.191065\pi\) | |||||||
\(62\) | 2.73205 | + | 4.73205i | 0.346971 | + | 0.600971i | ||||
\(63\) | 0.633975 | − | 0.366025i | 0.0798733 | − | 0.0461149i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 4.73205 | 0.582475 | ||||||||
\(67\) | 9.63397 | − | 5.56218i | 1.17698 | − | 0.679528i | 0.221664 | − | 0.975123i | \(-0.428851\pi\) |
0.955313 | + | 0.295595i | \(0.0955179\pi\) | |||||||
\(68\) | −1.13397 | − | 1.96410i | −0.137515 | − | 0.238182i | ||||
\(69\) | −3.09808 | + | 5.36603i | −0.372965 | + | 0.645994i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.09808 | − | 0.633975i | −0.130318 | − | 0.0752389i | 0.433424 | − | 0.901190i | \(-0.357305\pi\) |
−0.563742 | + | 0.825951i | \(0.690639\pi\) | |||||||
\(72\) | −0.866025 | − | 0.500000i | −0.102062 | − | 0.0589256i | ||||
\(73\) | − | 9.73205i | − | 1.13905i | −0.821974 | − | 0.569525i | \(-0.807127\pi\) | ||
0.821974 | − | 0.569525i | \(-0.192873\pi\) | |||||||
\(74\) | −5.23205 | + | 9.06218i | −0.608214 | + | 1.05346i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.09808 | + | 0.633975i | −0.125958 | + | 0.0727219i | ||||
\(77\) | 3.46410 | 0.394771 | ||||||||
\(78\) | 1.00000 | + | 3.46410i | 0.113228 | + | 0.392232i | ||||
\(79\) | −9.46410 | −1.06479 | −0.532397 | − | 0.846495i | \(-0.678709\pi\) | ||||
−0.532397 | + | 0.846495i | \(0.678709\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −5.69615 | + | 9.86603i | −0.629035 | + | 1.08952i | ||||
\(83\) | − | 10.1962i | − | 1.11917i | −0.828772 | − | 0.559587i | \(-0.810960\pi\) | ||
0.828772 | − | 0.559587i | \(-0.189040\pi\) | |||||||
\(84\) | −0.633975 | − | 0.366025i | −0.0691723 | − | 0.0399366i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | − | 7.66025i | − | 0.826026i | ||||||
\(87\) | 1.23205 | − | 2.13397i | 0.132090 | − | 0.228786i | ||||
\(88\) | −2.36603 | − | 4.09808i | −0.252219 | − | 0.436856i | ||||
\(89\) | 2.19615 | − | 1.26795i | 0.232792 | − | 0.134402i | −0.379068 | − | 0.925369i | \(-0.623755\pi\) |
0.611859 | + | 0.790967i | \(0.290422\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.732051 | + | 2.53590i | 0.0767398 | + | 0.265834i | ||||
\(92\) | 6.19615 | 0.645994 | ||||||||
\(93\) | 4.73205 | − | 2.73205i | 0.490691 | − | 0.283300i | ||||
\(94\) | 4.09808 | + | 7.09808i | 0.422684 | + | 0.732111i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.00000i | 0.102062i | ||||||||
\(97\) | −5.19615 | − | 3.00000i | −0.527589 | − | 0.304604i | 0.212445 | − | 0.977173i | \(-0.431857\pi\) |
−0.740034 | + | 0.672569i | \(0.765191\pi\) | |||||||
\(98\) | 5.59808 | + | 3.23205i | 0.565491 | + | 0.326486i | ||||
\(99\) | − | 4.73205i | − | 0.475589i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.96410 | − | 10.3301i | −0.593450 | − | 1.02789i | −0.993764 | − | 0.111508i | \(-0.964432\pi\) |
0.400313 | − | 0.916378i | \(-0.368901\pi\) | |||||||
\(102\) | −1.96410 | + | 1.13397i | −0.194475 | + | 0.112280i | ||||
\(103\) | −18.7321 | −1.84572 | −0.922862 | − | 0.385131i | \(-0.874156\pi\) | ||||
−0.922862 | + | 0.385131i | \(0.874156\pi\) | |||||||
\(104\) | 2.50000 | − | 2.59808i | 0.245145 | − | 0.254762i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.401924 | − | 0.232051i | 0.0390383 | − | 0.0225388i | ||||
\(107\) | −0.0980762 | − | 0.169873i | −0.00948139 | − | 0.0164222i | 0.861246 | − | 0.508189i | \(-0.169685\pi\) |
−0.870727 | + | 0.491766i | \(0.836351\pi\) | |||||||
\(108\) | −0.500000 | + | 0.866025i | −0.0481125 | + | 0.0833333i | ||||
\(109\) | − | 5.46410i | − | 0.523366i | −0.965154 | − | 0.261683i | \(-0.915723\pi\) | ||
0.965154 | − | 0.261683i | \(-0.0842775\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 9.06218 | + | 5.23205i | 0.860144 | + | 0.496604i | ||||
\(112\) | 0.732051i | 0.0691723i | ||||||||
\(113\) | −9.33013 | + | 16.1603i | −0.877705 | + | 1.52023i | −0.0238510 | + | 0.999716i | \(0.507593\pi\) |
−0.853854 | + | 0.520513i | \(0.825741\pi\) | |||||||
\(114\) | 0.633975 | + | 1.09808i | 0.0593772 | + | 0.102844i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.46410 | −0.228786 | ||||||||
\(117\) | 3.46410 | − | 1.00000i | 0.320256 | − | 0.0924500i | ||||
\(118\) | −8.00000 | −0.736460 | ||||||||
\(119\) | −1.43782 | + | 0.830127i | −0.131805 | + | 0.0760976i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.69615 | − | 9.86603i | 0.517832 | − | 0.896911i | ||||
\(122\) | − | 1.19615i | − | 0.108295i | ||||||
\(123\) | 9.86603 | + | 5.69615i | 0.889590 | + | 0.513605i | ||||
\(124\) | −4.73205 | − | 2.73205i | −0.424951 | − | 0.245345i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.366025 | + | 0.633975i | −0.0326081 | + | 0.0564789i | ||||
\(127\) | −8.92820 | − | 15.4641i | −0.792250 | − | 1.37222i | −0.924571 | − | 0.381010i | \(-0.875576\pi\) |
0.132321 | − | 0.991207i | \(-0.457757\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | −7.66025 | −0.674448 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 13.4641 | 1.17636 | 0.588182 | − | 0.808729i | \(-0.299844\pi\) | ||||
0.588182 | + | 0.808729i | \(0.299844\pi\) | |||||||
\(132\) | −4.09808 | + | 2.36603i | −0.356692 | + | 0.205936i | ||||
\(133\) | 0.464102 | + | 0.803848i | 0.0402427 | + | 0.0697024i | ||||
\(134\) | −5.56218 | + | 9.63397i | −0.480499 | + | 0.832249i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.96410 | + | 1.13397i | 0.168420 | + | 0.0972375i | ||||
\(137\) | 1.66987 | + | 0.964102i | 0.142667 | + | 0.0823688i | 0.569634 | − | 0.821898i | \(-0.307085\pi\) |
−0.426968 | + | 0.904267i | \(0.640418\pi\) | |||||||
\(138\) | − | 6.19615i | − | 0.527452i | ||||||
\(139\) | 4.92820 | − | 8.53590i | 0.418005 | − | 0.724005i | −0.577734 | − | 0.816225i | \(-0.696063\pi\) |
0.995739 | + | 0.0922197i | \(0.0293962\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 7.09808 | − | 4.09808i | 0.597766 | − | 0.345120i | ||||
\(142\) | 1.26795 | 0.106404 | ||||||||
\(143\) | 16.5622 | + | 4.09808i | 1.38500 | + | 0.342698i | ||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 4.86603 | + | 8.42820i | 0.402715 | + | 0.697523i | ||||
\(147\) | 3.23205 | − | 5.59808i | 0.266575 | − | 0.461722i | ||||
\(148\) | − | 10.4641i | − | 0.860144i | ||||||
\(149\) | −2.42820 | − | 1.40192i | −0.198926 | − | 0.114850i | 0.397228 | − | 0.917720i | \(-0.369972\pi\) |
−0.596154 | + | 0.802870i | \(0.703305\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 3.26795i | − | 0.265942i | −0.991120 | − | 0.132971i | \(-0.957548\pi\) | ||
0.991120 | − | 0.132971i | \(-0.0424517\pi\) | |||||||
\(152\) | 0.633975 | − | 1.09808i | 0.0514221 | − | 0.0890657i | ||||
\(153\) | 1.13397 | + | 1.96410i | 0.0916764 | + | 0.158788i | ||||
\(154\) | −3.00000 | + | 1.73205i | −0.241747 | + | 0.139573i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −2.59808 | − | 2.50000i | −0.208013 | − | 0.200160i | ||||
\(157\) | 23.5885 | 1.88256 | 0.941282 | − | 0.337622i | \(-0.109622\pi\) | ||||
0.941282 | + | 0.337622i | \(0.109622\pi\) | |||||||
\(158\) | 8.19615 | − | 4.73205i | 0.652051 | − | 0.376462i | ||||
\(159\) | −0.232051 | − | 0.401924i | −0.0184028 | − | 0.0318746i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 4.53590i | − | 0.357479i | ||||||
\(162\) | 0.866025 | + | 0.500000i | 0.0680414 | + | 0.0392837i | ||||
\(163\) | 5.66025 | + | 3.26795i | 0.443345 | + | 0.255966i | 0.705016 | − | 0.709192i | \(-0.250940\pi\) |
−0.261670 | + | 0.965157i | \(0.584273\pi\) | |||||||
\(164\) | − | 11.3923i | − | 0.889590i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.09808 | + | 8.83013i | 0.395687 | + | 0.685351i | ||||
\(167\) | −2.19615 | + | 1.26795i | −0.169943 | + | 0.0981169i | −0.582559 | − | 0.812788i | \(-0.697949\pi\) |
0.412616 | + | 0.910905i | \(0.364615\pi\) | |||||||
\(168\) | 0.732051 | 0.0564789 | ||||||||
\(169\) | 0.500000 | + | 12.9904i | 0.0384615 | + | 0.999260i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.09808 | − | 0.633975i | 0.0839720 | − | 0.0484812i | ||||
\(172\) | 3.83013 | + | 6.63397i | 0.292044 | + | 0.505836i | ||||
\(173\) | 8.19615 | − | 14.1962i | 0.623142 | − | 1.07931i | −0.365755 | − | 0.930711i | \(-0.619189\pi\) |
0.988897 | − | 0.148602i | \(-0.0474774\pi\) | |||||||
\(174\) | 2.46410i | 0.186803i | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.09808 | + | 2.36603i | 0.308904 | + | 0.178346i | ||||
\(177\) | 8.00000i | 0.601317i | ||||||||
\(178\) | −1.26795 | + | 2.19615i | −0.0950368 | + | 0.164609i | ||||
\(179\) | 11.0263 | + | 19.0981i | 0.824143 | + | 1.42746i | 0.902573 | + | 0.430538i | \(0.141676\pi\) |
−0.0784298 | + | 0.996920i | \(0.524991\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.80385 | −0.654385 | −0.327192 | − | 0.944958i | \(-0.606103\pi\) | ||||
−0.327192 | + | 0.944958i | \(0.606103\pi\) | |||||||
\(182\) | −1.90192 | − | 1.83013i | −0.140980 | − | 0.135658i | ||||
\(183\) | −1.19615 | −0.0884221 | ||||||||
\(184\) | −5.36603 | + | 3.09808i | −0.395589 | + | 0.228393i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −2.73205 | + | 4.73205i | −0.200324 | + | 0.346971i | ||||
\(187\) | 10.7321i | 0.784805i | ||||||||
\(188\) | −7.09808 | − | 4.09808i | −0.517680 | − | 0.298883i | ||||
\(189\) | 0.633975 | + | 0.366025i | 0.0461149 | + | 0.0266244i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.46410 | + | 6.00000i | −0.250654 | + | 0.434145i | −0.963706 | − | 0.266966i | \(-0.913979\pi\) |
0.713052 | + | 0.701111i | \(0.247312\pi\) | |||||||
\(192\) | −0.500000 | − | 0.866025i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | −7.16025 | + | 4.13397i | −0.515406 | + | 0.297570i | −0.735053 | − | 0.678009i | \(-0.762843\pi\) |
0.219647 | + | 0.975579i | \(0.429510\pi\) | |||||||
\(194\) | 6.00000 | 0.430775 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.46410 | −0.461722 | ||||||||
\(197\) | −8.53590 | + | 4.92820i | −0.608158 | + | 0.351120i | −0.772244 | − | 0.635326i | \(-0.780866\pi\) |
0.164086 | + | 0.986446i | \(0.447532\pi\) | |||||||
\(198\) | 2.36603 | + | 4.09808i | 0.168146 | + | 0.291238i | ||||
\(199\) | −1.90192 | + | 3.29423i | −0.134824 | + | 0.233522i | −0.925530 | − | 0.378674i | \(-0.876380\pi\) |
0.790706 | + | 0.612196i | \(0.209714\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 9.63397 | + | 5.56218i | 0.679528 | + | 0.392326i | ||||
\(202\) | 10.3301 | + | 5.96410i | 0.726825 | + | 0.419633i | ||||
\(203\) | 1.80385i | 0.126605i | ||||||||
\(204\) | 1.13397 | − | 1.96410i | 0.0793941 | − | 0.137515i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 16.2224 | − | 9.36603i | 1.13027 | − | 0.652562i | ||||
\(207\) | −6.19615 | −0.430662 | ||||||||
\(208\) | −0.866025 | + | 3.50000i | −0.0600481 | + | 0.242681i | ||||
\(209\) | 6.00000 | 0.415029 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.19615 | + | 3.80385i | 0.151189 | + | 0.261868i | 0.931665 | − | 0.363319i | \(-0.118356\pi\) |
−0.780476 | + | 0.625186i | \(0.785023\pi\) | |||||||
\(212\) | −0.232051 | + | 0.401924i | −0.0159373 | + | 0.0276042i | ||||
\(213\) | − | 1.26795i | − | 0.0868784i | ||||||
\(214\) | 0.169873 | + | 0.0980762i | 0.0116123 | + | 0.00670435i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | −2.00000 | + | 3.46410i | −0.135769 | + | 0.235159i | ||||
\(218\) | 2.73205 | + | 4.73205i | 0.185038 | + | 0.320495i | ||||
\(219\) | 8.42820 | − | 4.86603i | 0.569525 | − | 0.328816i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.85641 | + | 2.26795i | −0.528479 | + | 0.152559i | ||||
\(222\) | −10.4641 | −0.702305 | ||||||||
\(223\) | 11.3205 | − | 6.53590i | 0.758077 | − | 0.437676i | −0.0705277 | − | 0.997510i | \(-0.522468\pi\) |
0.828605 | + | 0.559834i | \(0.189135\pi\) | |||||||
\(224\) | −0.366025 | − | 0.633975i | −0.0244561 | − | 0.0423592i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | − | 18.6603i | − | 1.24126i | ||||||
\(227\) | −1.56218 | − | 0.901924i | −0.103685 | − | 0.0598628i | 0.447261 | − | 0.894404i | \(-0.352400\pi\) |
−0.550946 | + | 0.834541i | \(0.685733\pi\) | |||||||
\(228\) | −1.09808 | − | 0.633975i | −0.0727219 | − | 0.0419860i | ||||
\(229\) | − | 15.8564i | − | 1.04782i | −0.851773 | − | 0.523910i | \(-0.824473\pi\) | ||
0.851773 | − | 0.523910i | \(-0.175527\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.73205 | + | 3.00000i | 0.113961 | + | 0.197386i | ||||
\(232\) | 2.13397 | − | 1.23205i | 0.140102 | − | 0.0808881i | ||||
\(233\) | 19.8564 | 1.30084 | 0.650418 | − | 0.759576i | \(-0.274594\pi\) | ||||
0.650418 | + | 0.759576i | \(0.274594\pi\) | |||||||
\(234\) | −2.50000 | + | 2.59808i | −0.163430 | + | 0.169842i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 6.92820 | − | 4.00000i | 0.450988 | − | 0.260378i | ||||
\(237\) | −4.73205 | − | 8.19615i | −0.307380 | − | 0.532397i | ||||
\(238\) | 0.830127 | − | 1.43782i | 0.0538091 | − | 0.0932002i | ||||
\(239\) | − | 9.66025i | − | 0.624870i | −0.949939 | − | 0.312435i | \(-0.898855\pi\) | ||
0.949939 | − | 0.312435i | \(-0.101145\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.2321 | − | 8.79423i | −0.981183 | − | 0.566486i | −0.0785557 | − | 0.996910i | \(-0.525031\pi\) |
−0.902627 | + | 0.430424i | \(0.858364\pi\) | |||||||
\(242\) | 11.3923i | 0.732325i | ||||||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | 0.598076 | + | 1.03590i | 0.0382879 | + | 0.0663166i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −11.3923 | −0.726347 | ||||||||
\(247\) | 1.26795 | + | 4.39230i | 0.0806777 | + | 0.279476i | ||||
\(248\) | 5.46410 | 0.346971 | ||||||||
\(249\) | 8.83013 | − | 5.09808i | 0.559587 | − | 0.323077i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.26795 | − | 5.66025i | 0.206271 | − | 0.357272i | −0.744266 | − | 0.667883i | \(-0.767200\pi\) |
0.950537 | + | 0.310611i | \(0.100534\pi\) | |||||||
\(252\) | − | 0.732051i | − | 0.0461149i | ||||||
\(253\) | −25.3923 | − | 14.6603i | −1.59640 | − | 0.921682i | ||||
\(254\) | 15.4641 | + | 8.92820i | 0.970304 | + | 0.560205i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −13.3301 | − | 23.0885i | −0.831510 | − | 1.44022i | −0.896840 | − | 0.442355i | \(-0.854143\pi\) |
0.0653297 | − | 0.997864i | \(-0.479190\pi\) | |||||||
\(258\) | 6.63397 | − | 3.83013i | 0.413013 | − | 0.238453i | ||||
\(259\) | −7.66025 | −0.475985 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.46410 | 0.152524 | ||||||||
\(262\) | −11.6603 | + | 6.73205i | −0.720373 | + | 0.415907i | ||||
\(263\) | 14.0263 | + | 24.2942i | 0.864897 | + | 1.49805i | 0.867149 | + | 0.498049i | \(0.165950\pi\) |
−0.00225153 | + | 0.999997i | \(0.500717\pi\) | |||||||
\(264\) | 2.36603 | − | 4.09808i | 0.145619 | − | 0.252219i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.803848 | − | 0.464102i | −0.0492871 | − | 0.0284559i | ||||
\(267\) | 2.19615 | + | 1.26795i | 0.134402 | + | 0.0775972i | ||||
\(268\) | − | 11.1244i | − | 0.679528i | ||||||
\(269\) | 0.732051 | − | 1.26795i | 0.0446339 | − | 0.0773082i | −0.842845 | − | 0.538156i | \(-0.819121\pi\) |
0.887479 | + | 0.460848i | \(0.152455\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.07180 | + | 2.92820i | −0.308090 | + | 0.177876i | −0.646071 | − | 0.763277i | \(-0.723589\pi\) |
0.337982 | + | 0.941153i | \(0.390256\pi\) | |||||||
\(272\) | −2.26795 | −0.137515 | ||||||||
\(273\) | −1.83013 | + | 1.90192i | −0.110764 | + | 0.115110i | ||||
\(274\) | −1.92820 | −0.116487 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.09808 | + | 5.36603i | 0.186482 | + | 0.322997i | ||||
\(277\) | 1.13397 | − | 1.96410i | 0.0681339 | − | 0.118011i | −0.829946 | − | 0.557844i | \(-0.811629\pi\) |
0.898080 | + | 0.439832i | \(0.144962\pi\) | |||||||
\(278\) | 9.85641i | 0.591148i | ||||||||
\(279\) | 4.73205 | + | 2.73205i | 0.283300 | + | 0.163564i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 22.3205i | 1.33153i | 0.746162 | + | 0.665765i | \(0.231895\pi\) | ||||
−0.746162 | + | 0.665765i | \(0.768105\pi\) | |||||||
\(282\) | −4.09808 | + | 7.09808i | −0.244037 | + | 0.422684i | ||||
\(283\) | −4.16987 | − | 7.22243i | −0.247873 | − | 0.429329i | 0.715062 | − | 0.699061i | \(-0.246398\pi\) |
−0.962936 | + | 0.269732i | \(0.913065\pi\) | |||||||
\(284\) | −1.09808 | + | 0.633975i | −0.0651588 | + | 0.0376195i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −16.3923 | + | 4.73205i | −0.969297 | + | 0.279812i | ||||
\(287\) | −8.33975 | −0.492280 | ||||||||
\(288\) | −0.866025 | + | 0.500000i | −0.0510310 | + | 0.0294628i | ||||
\(289\) | 5.92820 | + | 10.2679i | 0.348718 | + | 0.603997i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 6.00000i | − | 0.351726i | ||||||
\(292\) | −8.42820 | − | 4.86603i | −0.493223 | − | 0.284763i | ||||
\(293\) | 12.5718 | + | 7.25833i | 0.734452 | + | 0.424036i | 0.820049 | − | 0.572294i | \(-0.193946\pi\) |
−0.0855965 | + | 0.996330i | \(0.527280\pi\) | |||||||
\(294\) | 6.46410i | 0.376994i | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 5.23205 | + | 9.06218i | 0.304107 | + | 0.526728i | ||||
\(297\) | 4.09808 | − | 2.36603i | 0.237795 | − | 0.137291i | ||||
\(298\) | 2.80385 | 0.162423 | ||||||||
\(299\) | 5.36603 | − | 21.6865i | 0.310325 | − | 1.25416i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.85641 | − | 2.80385i | 0.279919 | − | 0.161611i | ||||
\(302\) | 1.63397 | + | 2.83013i | 0.0940247 | + | 0.162856i | ||||
\(303\) | 5.96410 | − | 10.3301i | 0.342629 | − | 0.593450i | ||||
\(304\) | 1.26795i | 0.0727219i | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −1.96410 | − | 1.13397i | −0.112280 | − | 0.0648250i | ||||
\(307\) | 8.58846i | 0.490169i | 0.969502 | + | 0.245085i | \(0.0788157\pi\) | ||||
−0.969502 | + | 0.245085i | \(0.921184\pi\) | |||||||
\(308\) | 1.73205 | − | 3.00000i | 0.0986928 | − | 0.170941i | ||||
\(309\) | −9.36603 | − | 16.2224i | −0.532815 | − | 0.922862i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −15.6603 | −0.888012 | −0.444006 | − | 0.896024i | \(-0.646443\pi\) | ||||
−0.444006 | + | 0.896024i | \(0.646443\pi\) | |||||||
\(312\) | 3.50000 | + | 0.866025i | 0.198148 | + | 0.0490290i | ||||
\(313\) | −13.4641 | −0.761036 | −0.380518 | − | 0.924774i | \(-0.624254\pi\) | ||||
−0.380518 | + | 0.924774i | \(0.624254\pi\) | |||||||
\(314\) | −20.4282 | + | 11.7942i | −1.15283 | + | 0.665587i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.73205 | + | 8.19615i | −0.266199 | + | 0.461070i | ||||
\(317\) | − | 3.33975i | − | 0.187579i | −0.995592 | − | 0.0937894i | \(-0.970102\pi\) | ||
0.995592 | − | 0.0937894i | \(-0.0298980\pi\) | |||||||
\(318\) | 0.401924 | + | 0.232051i | 0.0225388 | + | 0.0130128i | ||||
\(319\) | 10.0981 | + | 5.83013i | 0.565384 | + | 0.326424i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.0980762 | − | 0.169873i | 0.00547408 | − | 0.00948139i | ||||
\(322\) | 2.26795 | + | 3.92820i | 0.126388 | + | 0.218910i | ||||
\(323\) | −2.49038 | + | 1.43782i | −0.138569 | + | 0.0800026i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −6.53590 | −0.361990 | ||||||||
\(327\) | 4.73205 | − | 2.73205i | 0.261683 | − | 0.151083i | ||||
\(328\) | 5.69615 | + | 9.86603i | 0.314517 | + | 0.544760i | ||||
\(329\) | −3.00000 | + | 5.19615i | −0.165395 | + | 0.286473i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.3205 | − | 10.0000i | −0.952021 | − | 0.549650i | −0.0583130 | − | 0.998298i | \(-0.518572\pi\) |
−0.893708 | + | 0.448649i | \(0.851905\pi\) | |||||||
\(332\) | −8.83013 | − | 5.09808i | −0.484616 | − | 0.279793i | ||||
\(333\) | 10.4641i | 0.573429i | ||||||||
\(334\) | 1.26795 | − | 2.19615i | 0.0693791 | − | 0.120168i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.633975 | + | 0.366025i | −0.0345861 | + | 0.0199683i | ||||
\(337\) | 6.85641 | 0.373492 | 0.186746 | − | 0.982408i | \(-0.440206\pi\) | ||||
0.186746 | + | 0.982408i | \(0.440206\pi\) | |||||||
\(338\) | −6.92820 | − | 11.0000i | −0.376845 | − | 0.598321i | ||||
\(339\) | −18.6603 | −1.01349 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.9282 | + | 22.3923i | 0.700101 | + | 1.21261i | ||||
\(342\) | −0.633975 | + | 1.09808i | −0.0342814 | + | 0.0593772i | ||||
\(343\) | 9.85641i | 0.532196i | ||||||||
\(344\) | −6.63397 | − | 3.83013i | −0.357680 | − | 0.206507i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 16.3923i | 0.881256i | ||||||||
\(347\) | 4.43782 | − | 7.68653i | 0.238235 | − | 0.412635i | −0.721973 | − | 0.691921i | \(-0.756765\pi\) |
0.960208 | + | 0.279286i | \(0.0900979\pi\) | |||||||
\(348\) | −1.23205 | − | 2.13397i | −0.0660449 | − | 0.114393i | ||||
\(349\) | 16.7321 | − | 9.66025i | 0.895646 | − | 0.517102i | 0.0198610 | − | 0.999803i | \(-0.493678\pi\) |
0.875785 | + | 0.482701i | \(0.160344\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.59808 | + | 2.50000i | 0.138675 | + | 0.133440i | ||||
\(352\) | −4.73205 | −0.252219 | ||||||||
\(353\) | −17.1340 | + | 9.89230i | −0.911949 | + | 0.526514i | −0.881058 | − | 0.473008i | \(-0.843168\pi\) |
−0.0308916 | + | 0.999523i | \(0.509835\pi\) | |||||||
\(354\) | −4.00000 | − | 6.92820i | −0.212598 | − | 0.368230i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | − | 2.53590i | − | 0.134402i | ||||||
\(357\) | −1.43782 | − | 0.830127i | −0.0760976 | − | 0.0439350i | ||||
\(358\) | −19.0981 | − | 11.0263i | −1.00936 | − | 0.582757i | ||||
\(359\) | − | 23.1244i | − | 1.22046i | −0.792226 | − | 0.610228i | \(-0.791078\pi\) | ||
0.792226 | − | 0.610228i | \(-0.208922\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.69615 | − | 15.0622i | −0.457692 | − | 0.792746i | ||||
\(362\) | 7.62436 | − | 4.40192i | 0.400727 | − | 0.231360i | ||||
\(363\) | 11.3923 | 0.597941 | ||||||||
\(364\) | 2.56218 | + | 0.633975i | 0.134295 | + | 0.0332293i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.03590 | − | 0.598076i | 0.0541473 | − | 0.0312619i | ||||
\(367\) | −7.36603 | − | 12.7583i | −0.384503 | − | 0.665979i | 0.607197 | − | 0.794551i | \(-0.292294\pi\) |
−0.991700 | + | 0.128572i | \(0.958961\pi\) | |||||||
\(368\) | 3.09808 | − | 5.36603i | 0.161498 | − | 0.279723i | ||||
\(369\) | 11.3923i | 0.593060i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.294229 | + | 0.169873i | 0.0152756 | + | 0.00881937i | ||||
\(372\) | − | 5.46410i | − | 0.283300i | ||||||
\(373\) | −5.13397 | + | 8.89230i | −0.265827 | + | 0.460426i | −0.967780 | − | 0.251797i | \(-0.918978\pi\) |
0.701953 | + | 0.712223i | \(0.252312\pi\) | |||||||
\(374\) | −5.36603 | − | 9.29423i | −0.277471 | − | 0.480593i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.19615 | 0.422684 | ||||||||
\(377\) | −2.13397 | + | 8.62436i | −0.109905 | + | 0.444177i | ||||
\(378\) | −0.732051 | −0.0376526 | ||||||||
\(379\) | 1.26795 | − | 0.732051i | 0.0651302 | − | 0.0376029i | −0.467081 | − | 0.884214i | \(-0.654694\pi\) |
0.532211 | + | 0.846611i | \(0.321361\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.92820 | − | 15.4641i | 0.457406 | − | 0.792250i | ||||
\(382\) | − | 6.92820i | − | 0.354478i | ||||||
\(383\) | 4.73205 | + | 2.73205i | 0.241797 | + | 0.139601i | 0.616002 | − | 0.787744i | \(-0.288751\pi\) |
−0.374206 | + | 0.927346i | \(0.622085\pi\) | |||||||
\(384\) | 0.866025 | + | 0.500000i | 0.0441942 | + | 0.0255155i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.13397 | − | 7.16025i | 0.210414 | − | 0.364447i | ||||
\(387\) | −3.83013 | − | 6.63397i | −0.194696 | − | 0.337224i | ||||
\(388\) | −5.19615 | + | 3.00000i | −0.263795 | + | 0.152302i | ||||
\(389\) | 29.7846 | 1.51014 | 0.755070 | − | 0.655644i | \(-0.227603\pi\) | ||||
0.755070 | + | 0.655644i | \(0.227603\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 14.0526 | 0.710668 | ||||||||
\(392\) | 5.59808 | − | 3.23205i | 0.282746 | − | 0.163243i | ||||
\(393\) | 6.73205 | + | 11.6603i | 0.339587 | + | 0.588182i | ||||
\(394\) | 4.92820 | − | 8.53590i | 0.248279 | − | 0.430032i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −4.09808 | − | 2.36603i | −0.205936 | − | 0.118897i | ||||
\(397\) | 0.339746 | + | 0.196152i | 0.0170514 | + | 0.00984461i | 0.508501 | − | 0.861061i | \(-0.330200\pi\) |
−0.491450 | + | 0.870906i | \(0.663533\pi\) | |||||||
\(398\) | − | 3.80385i | − | 0.190670i | ||||||
\(399\) | −0.464102 | + | 0.803848i | −0.0232341 | + | 0.0402427i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −18.9904 | + | 10.9641i | −0.948334 | + | 0.547521i | −0.892563 | − | 0.450922i | \(-0.851095\pi\) |
−0.0557713 | + | 0.998444i | \(0.517762\pi\) | |||||||
\(402\) | −11.1244 | −0.554832 | ||||||||
\(403\) | −13.6603 | + | 14.1962i | −0.680466 | + | 0.707161i | ||||
\(404\) | −11.9282 | −0.593450 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.901924 | − | 1.56218i | −0.0447617 | − | 0.0775296i | ||||
\(407\) | −24.7583 | + | 42.8827i | −1.22722 | + | 2.12562i | ||||
\(408\) | 2.26795i | 0.112280i | ||||||||
\(409\) | −12.3564 | − | 7.13397i | −0.610985 | − | 0.352752i | 0.162366 | − | 0.986731i | \(-0.448088\pi\) |
−0.773351 | + | 0.633978i | \(0.781421\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.92820i | 0.0951113i | ||||||||
\(412\) | −9.36603 | + | 16.2224i | −0.461431 | + | 0.799222i | ||||
\(413\) | −2.92820 | − | 5.07180i | −0.144087 | − | 0.249567i | ||||
\(414\) | 5.36603 | − | 3.09808i | 0.263726 | − | 0.152262i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.00000 | − | 3.46410i | −0.0490290 | − | 0.169842i | ||||
\(417\) | 9.85641 | 0.482670 | ||||||||
\(418\) | −5.19615 | + | 3.00000i | −0.254152 | + | 0.146735i | ||||
\(419\) | 5.26795 | + | 9.12436i | 0.257356 | + | 0.445754i | 0.965533 | − | 0.260281i | \(-0.0838153\pi\) |
−0.708177 | + | 0.706035i | \(0.750482\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 32.7128i | 1.59432i | 0.603765 | + | 0.797162i | \(0.293667\pi\) | ||||
−0.603765 | + | 0.797162i | \(0.706333\pi\) | |||||||
\(422\) | −3.80385 | − | 2.19615i | −0.185168 | − | 0.106907i | ||||
\(423\) | 7.09808 | + | 4.09808i | 0.345120 | + | 0.199255i | ||||
\(424\) | − | 0.464102i | − | 0.0225388i | ||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0.633975 | + | 1.09808i | 0.0307162 | + | 0.0532020i | ||||
\(427\) | 0.758330 | − | 0.437822i | 0.0366982 | − | 0.0211877i | ||||
\(428\) | −0.196152 | −0.00948139 | ||||||||
\(429\) | 4.73205 | + | 16.3923i | 0.228466 | + | 0.791428i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −9.63397 | + | 5.56218i | −0.464052 | + | 0.267921i | −0.713747 | − | 0.700404i | \(-0.753003\pi\) |
0.249694 | + | 0.968325i | \(0.419670\pi\) | |||||||
\(432\) | 0.500000 | + | 0.866025i | 0.0240563 | + | 0.0416667i | ||||
\(433\) | 7.42820 | − | 12.8660i | 0.356977 | − | 0.618302i | −0.630478 | − | 0.776208i | \(-0.717141\pi\) |
0.987454 | + | 0.157906i | \(0.0504742\pi\) | |||||||
\(434\) | − | 4.00000i | − | 0.192006i | ||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.73205 | − | 2.73205i | −0.226624 | − | 0.130842i | ||||
\(437\) | − | 7.85641i | − | 0.375823i | ||||||
\(438\) | −4.86603 | + | 8.42820i | −0.232508 | + | 0.402715i | ||||
\(439\) | −8.83013 | − | 15.2942i | −0.421439 | − | 0.729954i | 0.574642 | − | 0.818405i | \(-0.305141\pi\) |
−0.996080 | + | 0.0884515i | \(0.971808\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.46410 | 0.307814 | ||||||||
\(442\) | 5.66987 | − | 5.89230i | 0.269688 | − | 0.280268i | ||||
\(443\) | −36.3923 | −1.72905 | −0.864525 | − | 0.502589i | \(-0.832381\pi\) | ||||
−0.864525 | + | 0.502589i | \(0.832381\pi\) | |||||||
\(444\) | 9.06218 | − | 5.23205i | 0.430072 | − | 0.248302i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −6.53590 | + | 11.3205i | −0.309484 | + | 0.536042i | ||||
\(447\) | − | 2.80385i | − | 0.132617i | ||||||
\(448\) | 0.633975 | + | 0.366025i | 0.0299525 | + | 0.0172931i | ||||
\(449\) | −20.1962 | − | 11.6603i | −0.953115 | − | 0.550281i | −0.0590680 | − | 0.998254i | \(-0.518813\pi\) |
−0.894047 | + | 0.447973i | \(0.852146\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −26.9545 | + | 46.6865i | −1.26924 | + | 2.19838i | ||||
\(452\) | 9.33013 | + | 16.1603i | 0.438852 | + | 0.760114i | ||||
\(453\) | 2.83013 | − | 1.63397i | 0.132971 | − | 0.0767708i | ||||
\(454\) | 1.80385 | 0.0846588 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.26795 | 0.0593772 | ||||||||
\(457\) | −16.1603 | + | 9.33013i | −0.755945 | + | 0.436445i | −0.827838 | − | 0.560967i | \(-0.810429\pi\) |
0.0718931 | + | 0.997412i | \(0.477096\pi\) | |||||||
\(458\) | 7.92820 | + | 13.7321i | 0.370461 | + | 0.641657i | ||||
\(459\) | −1.13397 | + | 1.96410i | −0.0529294 | + | 0.0916764i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −22.2846 | − | 12.8660i | −1.03790 | − | 0.599231i | −0.118661 | − | 0.992935i | \(-0.537860\pi\) |
−0.919237 | + | 0.393704i | \(0.871193\pi\) | |||||||
\(462\) | −3.00000 | − | 1.73205i | −0.139573 | − | 0.0805823i | ||||
\(463\) | − | 28.0526i | − | 1.30371i | −0.758342 | − | 0.651856i | \(-0.773990\pi\) | ||
0.758342 | − | 0.651856i | \(-0.226010\pi\) | |||||||
\(464\) | −1.23205 | + | 2.13397i | −0.0571965 | + | 0.0990673i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −17.1962 | + | 9.92820i | −0.796596 | + | 0.459915i | ||||
\(467\) | −12.5885 | −0.582524 | −0.291262 | − | 0.956643i | \(-0.594075\pi\) | ||||
−0.291262 | + | 0.956643i | \(0.594075\pi\) | |||||||
\(468\) | 0.866025 | − | 3.50000i | 0.0400320 | − | 0.161788i | ||||
\(469\) | −8.14359 | −0.376036 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 11.7942 | + | 20.4282i | 0.543449 | + | 0.941282i | ||||
\(472\) | −4.00000 | + | 6.92820i | −0.184115 | + | 0.318896i | ||||
\(473\) | − | 36.2487i | − | 1.66672i | ||||||
\(474\) | 8.19615 | + | 4.73205i | 0.376462 | + | 0.217350i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 1.66025i | 0.0760976i | ||||||||
\(477\) | 0.232051 | − | 0.401924i | 0.0106249 | − | 0.0184028i | ||||
\(478\) | 4.83013 | + | 8.36603i | 0.220925 | + | 0.382653i | ||||
\(479\) | −22.9808 | + | 13.2679i | −1.05002 | + | 0.606228i | −0.922654 | − | 0.385628i | \(-0.873985\pi\) |
−0.127363 | + | 0.991856i | \(0.540651\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −36.6244 | − | 9.06218i | −1.66993 | − | 0.413200i | ||||
\(482\) | 17.5885 | 0.801132 | ||||||||
\(483\) | 3.92820 | − | 2.26795i | 0.178739 | − | 0.103195i | ||||
\(484\) | −5.69615 | − | 9.86603i | −0.258916 | − | 0.448456i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.00000i | 0.0453609i | ||||||||
\(487\) | 18.2942 | + | 10.5622i | 0.828991 | + | 0.478618i | 0.853507 | − | 0.521081i | \(-0.174471\pi\) |
−0.0245163 | + | 0.999699i | \(0.507805\pi\) | |||||||
\(488\) | −1.03590 | − | 0.598076i | −0.0468929 | − | 0.0270736i | ||||
\(489\) | 6.53590i | 0.295564i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.63397 | + | 4.56218i | 0.118870 | + | 0.205888i | 0.919320 | − | 0.393511i | \(-0.128740\pi\) |
−0.800450 | + | 0.599399i | \(0.795406\pi\) | |||||||
\(492\) | 9.86603 | − | 5.69615i | 0.444795 | − | 0.256802i | ||||
\(493\) | −5.58846 | −0.251691 | ||||||||
\(494\) | −3.29423 | − | 3.16987i | −0.148214 | − | 0.142619i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.73205 | + | 2.73205i | −0.212475 | + | 0.122673i | ||||
\(497\) | 0.464102 | + | 0.803848i | 0.0208178 | + | 0.0360575i | ||||
\(498\) | −5.09808 | + | 8.83013i | −0.228450 | + | 0.395687i | ||||
\(499\) | 32.0000i | 1.43252i | 0.697835 | + | 0.716258i | \(0.254147\pi\) | ||||
−0.697835 | + | 0.716258i | \(0.745853\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.19615 | − | 1.26795i | −0.0981169 | − | 0.0566478i | ||||
\(502\) | 6.53590i | 0.291711i | ||||||||
\(503\) | −5.49038 | + | 9.50962i | −0.244804 | + | 0.424013i | −0.962076 | − | 0.272780i | \(-0.912057\pi\) |
0.717272 | + | 0.696793i | \(0.245390\pi\) | |||||||
\(504\) | 0.366025 | + | 0.633975i | 0.0163041 | + | 0.0282395i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 29.3205 | 1.30346 | ||||||||
\(507\) | −11.0000 | + | 6.92820i | −0.488527 | + | 0.307692i | ||||
\(508\) | −17.8564 | −0.792250 | ||||||||
\(509\) | 8.89230 | − | 5.13397i | 0.394144 | − | 0.227559i | −0.289810 | − | 0.957084i | \(-0.593592\pi\) |
0.683954 | + | 0.729525i | \(0.260259\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.56218 | + | 6.16987i | −0.157581 | + | 0.272939i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 1.09808 | + | 0.633975i | 0.0484812 | + | 0.0279907i | ||||
\(514\) | 23.0885 | + | 13.3301i | 1.01839 | + | 0.587967i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.83013 | + | 6.63397i | −0.168612 | + | 0.292044i | ||||
\(517\) | 19.3923 | + | 33.5885i | 0.852873 | + | 1.47722i | ||||
\(518\) | 6.63397 | − | 3.83013i | 0.291480 | − | 0.168286i | ||||
\(519\) | 16.3923 | 0.719542 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −17.4449 | −0.764273 | −0.382137 | − | 0.924106i | \(-0.624812\pi\) | ||||
−0.382137 | + | 0.924106i | \(0.624812\pi\) | |||||||
\(522\) | −2.13397 | + | 1.23205i | −0.0934015 | + | 0.0539254i | ||||
\(523\) | 18.2224 | + | 31.5622i | 0.796811 | + | 1.38012i | 0.921683 | + | 0.387945i | \(0.126815\pi\) |
−0.124871 | + | 0.992173i | \(0.539852\pi\) | |||||||
\(524\) | 6.73205 | − | 11.6603i | 0.294091 | − | 0.509381i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −24.2942 | − | 14.0263i | −1.05928 | − | 0.611575i | ||||
\(527\) | −10.7321 | − | 6.19615i | −0.467495 | − | 0.269909i | ||||
\(528\) | 4.73205i | 0.205936i | ||||||||
\(529\) | −7.69615 | + | 13.3301i | −0.334615 | + | 0.579571i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.92820 | + | 4.00000i | −0.300658 | + | 0.173585i | ||||
\(532\) | 0.928203 | 0.0402427 | ||||||||
\(533\) | −39.8731 | − | 9.86603i | −1.72709 | − | 0.427345i | ||||
\(534\) | −2.53590 | −0.109739 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 5.56218 | + | 9.63397i | 0.240249 | + | 0.416124i | ||||
\(537\) | −11.0263 | + | 19.0981i | −0.475819 | + | 0.824143i | ||||
\(538\) | 1.46410i | 0.0631219i | ||||||||
\(539\) | 26.4904 | + | 15.2942i | 1.14102 | + | 0.658769i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 40.3205i | − | 1.73351i | −0.498731 | − | 0.866757i | \(-0.666200\pi\) | ||
0.498731 | − | 0.866757i | \(-0.333800\pi\) | |||||||
\(542\) | 2.92820 | − | 5.07180i | 0.125777 | − | 0.217852i | ||||
\(543\) | −4.40192 | − | 7.62436i | −0.188905 | − | 0.327192i | ||||
\(544\) | 1.96410 | − | 1.13397i | 0.0842102 | − | 0.0486188i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.633975 | − | 2.56218i | 0.0271316 | − | 0.109651i | ||||
\(547\) | −6.19615 | −0.264928 | −0.132464 | − | 0.991188i | \(-0.542289\pi\) | ||||
−0.132464 | + | 0.991188i | \(0.542289\pi\) | |||||||
\(548\) | 1.66987 | − | 0.964102i | 0.0713334 | − | 0.0411844i | ||||
\(549\) | −0.598076 | − | 1.03590i | −0.0255253 | − | 0.0442111i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.12436i | 0.133102i | ||||||||
\(552\) | −5.36603 | − | 3.09808i | −0.228393 | − | 0.131863i | ||||
\(553\) | 6.00000 | + | 3.46410i | 0.255146 | + | 0.147309i | ||||
\(554\) | 2.26795i | 0.0963559i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.92820 | − | 8.53590i | −0.209002 | − | 0.362003i | ||||
\(557\) | −26.3038 | + | 15.1865i | −1.11453 | + | 0.643474i | −0.939999 | − | 0.341178i | \(-0.889174\pi\) |
−0.174531 | + | 0.984652i | \(0.555841\pi\) | |||||||
\(558\) | −5.46410 | −0.231314 | ||||||||
\(559\) | 26.5359 | − | 7.66025i | 1.12235 | − | 0.323994i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −9.29423 | + | 5.36603i | −0.392403 | + | 0.226554i | ||||
\(562\) | −11.1603 | − | 19.3301i | −0.470767 | − | 0.815392i | ||||
\(563\) | −10.5359 | + | 18.2487i | −0.444035 | + | 0.769091i | −0.997984 | − | 0.0634589i | \(-0.979787\pi\) |
0.553949 | + | 0.832550i | \(0.313120\pi\) | |||||||
\(564\) | − | 8.19615i | − | 0.345120i | ||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 7.22243 | + | 4.16987i | 0.303581 | + | 0.175273i | ||||
\(567\) | 0.732051i | 0.0307432i | ||||||||
\(568\) | 0.633975 | − | 1.09808i | 0.0266010 | − | 0.0460743i | ||||
\(569\) | −19.3205 | − | 33.4641i | −0.809958 | − | 1.40289i | −0.912893 | − | 0.408200i | \(-0.866157\pi\) |
0.102935 | − | 0.994688i | \(-0.467177\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 24.0526 | 1.00657 | 0.503284 | − | 0.864121i | \(-0.332125\pi\) | ||||
0.503284 | + | 0.864121i | \(0.332125\pi\) | |||||||
\(572\) | 11.8301 | − | 12.2942i | 0.494642 | − | 0.514048i | ||||
\(573\) | −6.92820 | −0.289430 | ||||||||
\(574\) | 7.22243 | − | 4.16987i | 0.301458 | − | 0.174047i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.500000 | − | 0.866025i | 0.0208333 | − | 0.0360844i | ||||
\(577\) | − | 0.267949i | − | 0.0111549i | −0.999984 | − | 0.00557744i | \(-0.998225\pi\) | ||
0.999984 | − | 0.00557744i | \(-0.00177536\pi\) | |||||||
\(578\) | −10.2679 | − | 5.92820i | −0.427090 | − | 0.246581i | ||||
\(579\) | −7.16025 | − | 4.13397i | −0.297570 | − | 0.171802i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.73205 | + | 6.46410i | −0.154832 | + | 0.268176i | ||||
\(582\) | 3.00000 | + | 5.19615i | 0.124354 | + | 0.215387i | ||||
\(583\) | 1.90192 | − | 1.09808i | 0.0787696 | − | 0.0454777i | ||||
\(584\) | 9.73205 | 0.402715 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −14.5167 | −0.599678 | ||||||||
\(587\) | −13.8564 | + | 8.00000i | −0.571915 | + | 0.330195i | −0.757914 | − | 0.652355i | \(-0.773781\pi\) |
0.185999 | + | 0.982550i | \(0.440448\pi\) | |||||||
\(588\) | −3.23205 | − | 5.59808i | −0.133288 | − | 0.230861i | ||||
\(589\) | −3.46410 | + | 6.00000i | −0.142736 | + | 0.247226i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −8.53590 | − | 4.92820i | −0.351120 | − | 0.202719i | ||||
\(592\) | −9.06218 | − | 5.23205i | −0.372453 | − | 0.215036i | ||||
\(593\) | − | 36.8564i | − | 1.51351i | −0.653698 | − | 0.756756i | \(-0.726783\pi\) | ||
0.653698 | − | 0.756756i | \(-0.273217\pi\) | |||||||
\(594\) | −2.36603 | + | 4.09808i | −0.0970792 | + | 0.168146i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −2.42820 | + | 1.40192i | −0.0994631 | + | 0.0574250i | ||||
\(597\) | −3.80385 | −0.155681 | ||||||||
\(598\) | 6.19615 | + | 21.4641i | 0.253380 | + | 0.877732i | ||||
\(599\) | −9.46410 | −0.386693 | −0.193346 | − | 0.981131i | \(-0.561934\pi\) | ||||
−0.193346 | + | 0.981131i | \(0.561934\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.96410 | + | 5.13397i | 0.120908 | + | 0.209419i | 0.920126 | − | 0.391622i | \(-0.128086\pi\) |
−0.799218 | + | 0.601041i | \(0.794753\pi\) | |||||||
\(602\) | −2.80385 | + | 4.85641i | −0.114276 | + | 0.197932i | ||||
\(603\) | 11.1244i | 0.453019i | ||||||||
\(604\) | −2.83013 | − | 1.63397i | −0.115156 | − | 0.0664855i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 11.9282i | 0.484550i | ||||||||
\(607\) | 0.392305 | − | 0.679492i | 0.0159232 | − | 0.0275797i | −0.857954 | − | 0.513726i | \(-0.828265\pi\) |
0.873877 | + | 0.486147i | \(0.161598\pi\) | |||||||
\(608\) | −0.633975 | − | 1.09808i | −0.0257111 | − | 0.0445329i | ||||
\(609\) | −1.56218 | + | 0.901924i | −0.0633026 | + | 0.0365478i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −20.4904 | + | 21.2942i | −0.828952 | + | 0.861472i | ||||
\(612\) | 2.26795 | 0.0916764 | ||||||||
\(613\) | −9.86603 | + | 5.69615i | −0.398485 | + | 0.230065i | −0.685830 | − | 0.727762i | \(-0.740561\pi\) |
0.287345 | + | 0.957827i | \(0.407227\pi\) | |||||||
\(614\) | −4.29423 | − | 7.43782i | −0.173301 | − | 0.300166i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.46410i | 0.139573i | ||||||||
\(617\) | 30.5263 | + | 17.6244i | 1.22894 | + | 0.709530i | 0.966809 | − | 0.255502i | \(-0.0822407\pi\) |
0.262133 | + | 0.965032i | \(0.415574\pi\) | |||||||
\(618\) | 16.2224 | + | 9.36603i | 0.652562 | + | 0.376757i | ||||
\(619\) | − | 10.5359i | − | 0.423474i | −0.977327 | − | 0.211737i | \(-0.932088\pi\) | ||
0.977327 | − | 0.211737i | \(-0.0679119\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.09808 | − | 5.36603i | −0.124322 | − | 0.215331i | ||||
\(622\) | 13.5622 | − | 7.83013i | 0.543794 | − | 0.313959i | ||||
\(623\) | −1.85641 | −0.0743754 | ||||||||
\(624\) | −3.46410 | + | 1.00000i | −0.138675 | + | 0.0400320i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 11.6603 | − | 6.73205i | 0.466037 | − | 0.269067i | ||||
\(627\) | 3.00000 | + | 5.19615i | 0.119808 | + | 0.207514i | ||||
\(628\) | 11.7942 | − | 20.4282i | 0.470641 | − | 0.815174i | ||||
\(629\) | − | 23.7321i | − | 0.946259i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 41.3205 | + | 23.8564i | 1.64494 | + | 0.949709i | 0.979039 | + | 0.203671i | \(0.0652874\pi\) |
0.665904 | + | 0.746037i | \(0.268046\pi\) | |||||||
\(632\) | − | 9.46410i | − | 0.376462i | ||||||
\(633\) | −2.19615 | + | 3.80385i | −0.0872892 | + | 0.151189i | ||||
\(634\) | 1.66987 | + | 2.89230i | 0.0663191 | + | 0.114868i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.464102 | −0.0184028 | ||||||||
\(637\) | −5.59808 | + | 22.6244i | −0.221804 | + | 0.896410i | ||||
\(638\) | −11.6603 | −0.461634 | ||||||||
\(639\) | 1.09808 | − | 0.633975i | 0.0434392 | − | 0.0250796i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 12.9904 | − | 22.5000i | 0.513089 | − | 0.888697i | −0.486796 | − | 0.873516i | \(-0.661834\pi\) |
0.999885 | − | 0.0151806i | \(-0.00483233\pi\) | |||||||
\(642\) | 0.196152i | 0.00774152i | ||||||||
\(643\) | 12.0000 | + | 6.92820i | 0.473234 | + | 0.273222i | 0.717592 | − | 0.696463i | \(-0.245244\pi\) |
−0.244359 | + | 0.969685i | \(0.578577\pi\) | |||||||
\(644\) | −3.92820 | − | 2.26795i | −0.154793 | − | 0.0893697i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.43782 | − | 2.49038i | 0.0565704 | − | 0.0979827i | ||||
\(647\) | −13.1244 | − | 22.7321i | −0.515972 | − | 0.893689i | −0.999828 | − | 0.0185417i | \(-0.994098\pi\) |
0.483856 | − | 0.875147i | \(-0.339236\pi\) | |||||||
\(648\) | 0.866025 | − | 0.500000i | 0.0340207 | − | 0.0196419i | ||||
\(649\) | −37.8564 | −1.48599 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4.00000 | −0.156772 | ||||||||
\(652\) | 5.66025 | − | 3.26795i | 0.221673 | − | 0.127983i | ||||
\(653\) | −5.26795 | − | 9.12436i | −0.206151 | − | 0.357064i | 0.744348 | − | 0.667792i | \(-0.232760\pi\) |
−0.950499 | + | 0.310728i | \(0.899427\pi\) | |||||||
\(654\) | −2.73205 | + | 4.73205i | −0.106832 | + | 0.185038i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −9.86603 | − | 5.69615i | −0.385204 | − | 0.222397i | ||||
\(657\) | 8.42820 | + | 4.86603i | 0.328816 | + | 0.189842i | ||||
\(658\) | − | 6.00000i | − | 0.233904i | ||||||
\(659\) | −19.1244 | + | 33.1244i | −0.744979 | + | 1.29034i | 0.205225 | + | 0.978715i | \(0.434207\pi\) |
−0.950205 | + | 0.311627i | \(0.899126\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.13397 | − | 4.69615i | 0.316375 | − | 0.182659i | −0.333401 | − | 0.942785i | \(-0.608196\pi\) |
0.649776 | + | 0.760126i | \(0.274863\pi\) | |||||||
\(662\) | 20.0000 | 0.777322 | ||||||||
\(663\) | −5.89230 | − | 5.66987i | −0.228838 | − | 0.220200i | ||||
\(664\) | 10.1962 | 0.395687 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −5.23205 | − | 9.06218i | −0.202738 | − | 0.351152i | ||||
\(667\) | 7.63397 | − | 13.2224i | 0.295589 | − | 0.511975i | ||||
\(668\) | 2.53590i | 0.0981169i | ||||||||
\(669\) | 11.3205 | + | 6.53590i | 0.437676 | + | 0.252692i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 5.66025i | − | 0.218512i | ||||||
\(672\) | 0.366025 | − | 0.633975i | 0.0141197 | − | 0.0244561i | ||||
\(673\) | −7.03590 | − | 12.1865i | −0.271214 | − | 0.469756i | 0.697959 | − | 0.716138i | \(-0.254092\pi\) |
−0.969173 | + | 0.246381i | \(0.920758\pi\) | |||||||
\(674\) | −5.93782 | + | 3.42820i | −0.228716 | + | 0.132049i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 11.5000 | + | 6.06218i | 0.442308 | + | 0.233161i | ||||
\(677\) | 38.5359 | 1.48105 | 0.740527 | − | 0.672026i | \(-0.234576\pi\) | ||||
0.740527 | + | 0.672026i | \(0.234576\pi\) | |||||||
\(678\) | 16.1603 | − | 9.33013i | 0.620631 | − | 0.358321i | ||||
\(679\) | 2.19615 | + | 3.80385i | 0.0842806 | + | 0.145978i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 1.80385i | − | 0.0691236i | ||||||
\(682\) | −22.3923 | − | 12.9282i | −0.857446 | − | 0.495046i | ||||
\(683\) | 32.7846 | + | 18.9282i | 1.25447 | + | 0.724268i | 0.971994 | − | 0.235007i | \(-0.0755114\pi\) |
0.282475 | + | 0.959275i | \(0.408845\pi\) | |||||||
\(684\) | − | 1.26795i | − | 0.0484812i | ||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −4.92820 | − | 8.53590i | −0.188160 | − | 0.325902i | ||||
\(687\) | 13.7321 | − | 7.92820i | 0.523910 | − | 0.302480i | ||||
\(688\) | 7.66025 | 0.292044 | ||||||||
\(689\) | 1.20577 | + | 1.16025i | 0.0459362 | + | 0.0442022i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.8109 | − | 13.1699i | 0.867767 | − | 0.501006i | 0.00116153 | − | 0.999999i | \(-0.499630\pi\) |
0.866606 | + | 0.498994i | \(0.166297\pi\) | |||||||
\(692\) | −8.19615 | − | 14.1962i | −0.311571 | − | 0.539657i | ||||
\(693\) | −1.73205 | + | 3.00000i | −0.0657952 | + | 0.113961i | ||||
\(694\) | 8.87564i | 0.336915i | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.13397 | + | 1.23205i | 0.0808881 | + | 0.0467008i | ||||
\(697\) | − | 25.8372i | − | 0.978653i | ||||||
\(698\) | −9.66025 | + | 16.7321i | −0.365646 | + | 0.633317i | ||||
\(699\) | 9.92820 | + | 17.1962i | 0.375519 | + | 0.650418i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −31.3205 | −1.18296 | −0.591480 | − | 0.806320i | \(-0.701456\pi\) | ||||
−0.591480 | + | 0.806320i | \(0.701456\pi\) | |||||||
\(702\) | −3.50000 | − | 0.866025i | −0.132099 | − | 0.0326860i | ||||
\(703\) | −13.2679 | −0.500410 | ||||||||
\(704\) | 4.09808 | − | 2.36603i | 0.154452 | − | 0.0891729i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 9.89230 | − | 17.1340i | 0.372302 | − | 0.644846i | ||||
\(707\) | 8.73205i | 0.328403i | ||||||||
\(708\) | 6.92820 | + | 4.00000i | 0.260378 | + | 0.150329i | ||||
\(709\) | 35.3827 | + | 20.4282i | 1.32882 | + | 0.767197i | 0.985118 | − | 0.171880i | \(-0.0549841\pi\) |
0.343707 | + | 0.939077i | \(0.388317\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.73205 | − | 8.19615i | 0.177466 | − | 0.307380i | ||||
\(712\) | 1.26795 | + | 2.19615i | 0.0475184 | + | 0.0823043i | ||||
\(713\) | 29.3205 | − | 16.9282i | 1.09806 | − | 0.633966i | ||||
\(714\) | 1.66025 | 0.0621334 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 22.0526 | 0.824143 | ||||||||
\(717\) | 8.36603 | − | 4.83013i | 0.312435 | − | 0.180384i | ||||
\(718\) | 11.5622 | + | 20.0263i | 0.431497 | + | 0.747374i | ||||
\(719\) | −11.2679 | + | 19.5167i | −0.420224 | + | 0.727849i | −0.995961 | − | 0.0897860i | \(-0.971382\pi\) |
0.575737 | + | 0.817635i | \(0.304715\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 11.8756 | + | 6.85641i | 0.442272 | + | 0.255346i | ||||
\(722\) | 15.0622 | + | 8.69615i | 0.560556 | + | 0.323637i | ||||
\(723\) | − | 17.5885i | − | 0.654122i | ||||||
\(724\) | −4.40192 | + | 7.62436i | −0.163596 | + | 0.283357i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −9.86603 | + | 5.69615i | −0.366163 | + | 0.211404i | ||||
\(727\) | 20.9808 | 0.778133 | 0.389067 | − | 0.921210i | \(-0.372798\pi\) | ||||
0.389067 | + | 0.921210i | \(0.372798\pi\) | |||||||
\(728\) | −2.53590 | + | 0.732051i | −0.0939866 | + | 0.0271316i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.68653 | + | 15.0455i | 0.321283 | + | 0.556479i | ||||
\(732\) | −0.598076 | + | 1.03590i | −0.0221055 | + | 0.0382879i | ||||
\(733\) | − | 19.0000i | − | 0.701781i | −0.936416 | − | 0.350891i | \(-0.885879\pi\) | ||
0.936416 | − | 0.350891i | \(-0.114121\pi\) | |||||||
\(734\) | 12.7583 | + | 7.36603i | 0.470919 | + | 0.271885i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.19615i | 0.228393i | ||||||||
\(737\) | −26.3205 | + | 45.5885i | −0.969528 | + | 1.67927i | ||||
\(738\) | −5.69615 | − | 9.86603i | −0.209678 | − | 0.363173i | ||||
\(739\) | 9.46410 | − | 5.46410i | 0.348143 | − | 0.201000i | −0.315724 | − | 0.948851i | \(-0.602247\pi\) |
0.663867 | + | 0.747851i | \(0.268914\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.16987 | + | 3.29423i | −0.116448 | + | 0.121017i | ||||
\(742\) | −0.339746 | −0.0124725 | ||||||||
\(743\) | 23.9090 | − | 13.8038i | 0.877135 | − | 0.506414i | 0.00742221 | − | 0.999972i | \(-0.497637\pi\) |
0.869713 | + | 0.493558i | \(0.164304\pi\) | |||||||
\(744\) | 2.73205 | + | 4.73205i | 0.100162 | + | 0.173485i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | − | 10.2679i | − | 0.375936i | ||||||
\(747\) | 8.83013 | + | 5.09808i | 0.323077 | + | 0.186529i | ||||
\(748\) | 9.29423 | + | 5.36603i | 0.339831 | + | 0.196201i | ||||
\(749\) | 0.143594i | 0.00524679i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.95448 | + | 13.7776i | 0.290263 | + | 0.502751i | 0.973872 | − | 0.227098i | \(-0.0729238\pi\) |
−0.683609 | + | 0.729849i | \(0.739590\pi\) | |||||||
\(752\) | −7.09808 | + | 4.09808i | −0.258840 | + | 0.149441i | ||||
\(753\) | 6.53590 | 0.238181 | ||||||||
\(754\) | −2.46410 | − | 8.53590i | −0.0897373 | − | 0.310859i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0.633975 | − | 0.366025i | 0.0230574 | − | 0.0133122i | ||||
\(757\) | 3.53590 | + | 6.12436i | 0.128514 | + | 0.222593i | 0.923101 | − | 0.384557i | \(-0.125646\pi\) |
−0.794587 | + | 0.607151i | \(0.792312\pi\) | |||||||
\(758\) | −0.732051 | + | 1.26795i | −0.0265893 | + | 0.0460540i | ||||
\(759\) | − | 29.3205i | − | 1.06427i | ||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −20.1962 | − | 11.6603i | −0.732110 | − | 0.422684i | 0.0870836 | − | 0.996201i | \(-0.472245\pi\) |
−0.819194 | + | 0.573517i | \(0.805579\pi\) | |||||||
\(762\) | 17.8564i | 0.646869i | ||||||||
\(763\) | −2.00000 | + | 3.46410i | −0.0724049 | + | 0.125409i | ||||
\(764\) | 3.46410 | + | 6.00000i | 0.125327 | + | 0.217072i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.46410 | −0.197426 | ||||||||
\(767\) | −8.00000 | − | 27.7128i | −0.288863 | − | 1.00065i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | −13.9808 | + | 8.07180i | −0.504159 | + | 0.291076i | −0.730429 | − | 0.682988i | \(-0.760680\pi\) |
0.226270 | + | 0.974065i | \(0.427347\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.3301 | − | 23.0885i | 0.480073 | − | 0.831510i | ||||
\(772\) | 8.26795i | 0.297570i | ||||||||
\(773\) | −30.3731 | − | 17.5359i | −1.09244 | − | 0.630722i | −0.158217 | − | 0.987404i | \(-0.550575\pi\) |
−0.934226 | + | 0.356682i | \(0.883908\pi\) | |||||||
\(774\) | 6.63397 | + | 3.83013i | 0.238453 | + | 0.137671i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 3.00000 | − | 5.19615i | 0.107694 | − | 0.186531i | ||||
\(777\) | −3.83013 | − | 6.63397i | −0.137405 | − | 0.237993i | ||||
\(778\) | −25.7942 | + | 14.8923i | −0.924768 | + | 0.533915i | ||||
\(779\) | −14.4449 | −0.517541 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.00000 | 0.214697 | ||||||||
\(782\) | −12.1699 | + | 7.02628i | −0.435194 | + | 0.251259i | ||||
\(783\) | 1.23205 | + | 2.13397i | 0.0440299 | + | 0.0762620i | ||||
\(784\) | −3.23205 | + | 5.59808i | −0.115430 | + | 0.199931i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −11.6603 | − | 6.73205i | −0.415907 | − | 0.240124i | ||||
\(787\) | −34.0526 | − | 19.6603i | −1.21384 | − | 0.700812i | −0.250248 | − | 0.968182i | \(-0.580512\pi\) |
−0.963594 | + | 0.267369i | \(0.913846\pi\) | |||||||
\(788\) | 9.85641i | 0.351120i | ||||||||
\(789\) | −14.0263 | + | 24.2942i | −0.499349 | + | 0.864897i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 11.8301 | − | 6.83013i | 0.420631 | − | 0.242851i | ||||
\(792\) | 4.73205 | 0.168146 | ||||||||
\(793\) | 4.14359 | − | 1.19615i | 0.147143 | − | 0.0424766i | ||||
\(794\) | −0.392305 | −0.0139224 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.90192 | + | 3.29423i | 0.0674119 | + | 0.116761i | ||||
\(797\) | 17.0000 | − | 29.4449i | 0.602171 | − | 1.04299i | −0.390321 | − | 0.920679i | \(-0.627636\pi\) |
0.992492 | − | 0.122312i | \(-0.0390308\pi\) | |||||||
\(798\) | − | 0.928203i | − | 0.0328580i | ||||||
\(799\) | −16.0981 | − | 9.29423i | −0.569509 | − | 0.328806i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 2.53590i | 0.0896016i | ||||||||
\(802\) | 10.9641 | − | 18.9904i | 0.387156 | − | 0.670574i | ||||
\(803\) | 23.0263 | + | 39.8827i | 0.812580 | + | 1.40743i | ||||
\(804\) | 9.63397 | − | 5.56218i | 0.339764 | − | 0.196163i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 4.73205 | − | 19.1244i | 0.166679 | − | 0.673627i | ||||
\(807\) | 1.46410 | 0.0515388 | ||||||||
\(808\) | 10.3301 | − | 5.96410i | 0.363413 | − | 0.209816i | ||||
\(809\) | 11.2058 | + | 19.4090i | 0.393974 | + | 0.682383i | 0.992970 | − | 0.118369i | \(-0.0377667\pi\) |
−0.598996 | + | 0.800752i | \(0.704433\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 45.1769i | − | 1.58638i | −0.608977 | − | 0.793188i | \(-0.708420\pi\) | ||
0.608977 | − | 0.793188i | \(-0.291580\pi\) | |||||||
\(812\) | 1.56218 | + | 0.901924i | 0.0548217 | + | 0.0316513i | ||||
\(813\) | −5.07180 | − | 2.92820i | −0.177876 | − | 0.102697i | ||||
\(814\) | − | 49.5167i | − | 1.73556i | ||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −1.13397 | − | 1.96410i | −0.0396971 | − | 0.0687573i | ||||
\(817\) | 8.41154 | − | 4.85641i | 0.294283 | − | 0.169904i | ||||
\(818\) | 14.2679 | 0.498867 | ||||||||
\(819\) | −2.56218 | − | 0.633975i | −0.0895297 | − | 0.0221529i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 11.1962 | − | 6.46410i | 0.390748 | − | 0.225599i | −0.291736 | − | 0.956499i | \(-0.594233\pi\) |
0.682484 | + | 0.730900i | \(0.260900\pi\) | |||||||
\(822\) | −0.964102 | − | 1.66987i | −0.0336269 | − | 0.0582435i | ||||
\(823\) | 20.7846 | − | 36.0000i | 0.724506 | − | 1.25488i | −0.234671 | − | 0.972075i | \(-0.575401\pi\) |
0.959177 | − | 0.282806i | \(-0.0912654\pi\) | |||||||
\(824\) | − | 18.7321i | − | 0.652562i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 5.07180 | + | 2.92820i | 0.176470 | + | 0.101885i | ||||
\(827\) | 33.4641i | 1.16366i | 0.813310 | + | 0.581830i | \(0.197663\pi\) | ||||
−0.813310 | + | 0.581830i | \(0.802337\pi\) | |||||||
\(828\) | −3.09808 | + | 5.36603i | −0.107666 | + | 0.186482i | ||||
\(829\) | 6.06218 | + | 10.5000i | 0.210548 | + | 0.364680i | 0.951886 | − | 0.306452i | \(-0.0991418\pi\) |
−0.741338 | + | 0.671132i | \(0.765808\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 2.26795 | 0.0786743 | ||||||||
\(832\) | 2.59808 | + | 2.50000i | 0.0900721 | + | 0.0866719i | ||||
\(833\) | −14.6603 | −0.507948 | ||||||||
\(834\) | −8.53590 | + | 4.92820i | −0.295574 | + | 0.170650i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 3.00000 | − | 5.19615i | 0.103757 | − | 0.179713i | ||||
\(837\) | 5.46410i | 0.188867i | ||||||||
\(838\) | −9.12436 | − | 5.26795i | −0.315196 | − | 0.181978i | ||||
\(839\) | 12.2487 | + | 7.07180i | 0.422872 | + | 0.244146i | 0.696306 | − | 0.717745i | \(-0.254826\pi\) |
−0.273433 | + | 0.961891i | \(0.588159\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.4641 | − | 19.8564i | 0.395314 | − | 0.684704i | ||||
\(842\) | −16.3564 | − | 28.3301i | −0.563679 | − | 0.976321i | ||||
\(843\) | −19.3301 | + | 11.1603i | −0.665765 | + | 0.384380i | ||||
\(844\) | 4.39230 | 0.151189 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −8.19615 | −0.281790 | ||||||||
\(847\) | −7.22243 | + | 4.16987i | −0.248166 | + | 0.143279i | ||||
\(848\) | 0.232051 | + | 0.401924i | 0.00796866 | + | 0.0138021i | ||||
\(849\) | 4.16987 | − | 7.22243i | 0.143110 | − | 0.247873i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 56.1506 | + | 32.4186i | 1.92482 | + | 1.11129i | ||||
\(852\) | −1.09808 | − | 0.633975i | −0.0376195 | − | 0.0217196i | ||||
\(853\) | 8.17691i | 0.279972i | 0.990153 | + | 0.139986i | \(0.0447058\pi\) | ||||
−0.990153 | + | 0.139986i | \(0.955294\pi\) | |||||||
\(854\) | −0.437822 | + | 0.758330i | −0.0149820 | + | 0.0259495i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.169873 | − | 0.0980762i | 0.00580614 | − | 0.00335218i | ||||
\(857\) | −19.4449 | −0.664224 | −0.332112 | − | 0.943240i | \(-0.607761\pi\) | ||||
−0.332112 | + | 0.943240i | \(0.607761\pi\) | |||||||
\(858\) | −12.2942 | − | 11.8301i | −0.419718 | − | 0.403874i | ||||
\(859\) | −22.8756 | −0.780507 | −0.390253 | − | 0.920707i | \(-0.627613\pi\) | ||||
−0.390253 | + | 0.920707i | \(0.627613\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −4.16987 | − | 7.22243i | −0.142109 | − | 0.246140i | ||||
\(862\) | 5.56218 | − | 9.63397i | 0.189449 | − | 0.328134i | ||||
\(863\) | − | 7.12436i | − | 0.242516i | −0.992621 | − | 0.121258i | \(-0.961307\pi\) | ||
0.992621 | − | 0.121258i | \(-0.0386928\pi\) | |||||||
\(864\) | −0.866025 | − | 0.500000i | −0.0294628 | − | 0.0170103i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 14.8564i | 0.504841i | ||||||||
\(867\) | −5.92820 | + | 10.2679i | −0.201332 | + | 0.348718i | ||||
\(868\) | 2.00000 | + | 3.46410i | 0.0678844 | + | 0.117579i | ||||
\(869\) | 38.7846 | − | 22.3923i | 1.31568 | − | 0.759607i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −38.9352 | − | 9.63397i | −1.31927 | − | 0.326435i | ||||
\(872\) | 5.46410 | 0.185038 | ||||||||
\(873\) | 5.19615 | − | 3.00000i | 0.175863 | − | 0.101535i | ||||
\(874\) | 3.92820 | + | 6.80385i | 0.132873 | + | 0.230144i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | − | 9.73205i | − | 0.328816i | ||||||
\(877\) | 8.72243 | + | 5.03590i | 0.294536 | + | 0.170050i | 0.639985 | − | 0.768387i | \(-0.278940\pi\) |
−0.345450 | + | 0.938437i | \(0.612274\pi\) | |||||||
\(878\) | 15.2942 | + | 8.83013i | 0.516155 | + | 0.298002i | ||||
\(879\) | 14.5167i | 0.489635i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 25.9186 | + | 44.8923i | 0.873219 | + | 1.51246i | 0.858648 | + | 0.512566i | \(0.171305\pi\) |
0.0145717 | + | 0.999894i | \(0.495362\pi\) | |||||||
\(882\) | −5.59808 | + | 3.23205i | −0.188497 | + | 0.108829i | ||||
\(883\) | 29.0718 | 0.978344 | 0.489172 | − | 0.872187i | \(-0.337299\pi\) | ||||
0.489172 | + | 0.872187i | \(0.337299\pi\) | |||||||
\(884\) | −1.96410 | + | 7.93782i | −0.0660599 | + | 0.266978i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 31.5167 | − | 18.1962i | 1.05882 | − | 0.611312i | ||||
\(887\) | 5.07180 | + | 8.78461i | 0.170294 | + | 0.294958i | 0.938523 | − | 0.345217i | \(-0.112195\pi\) |
−0.768228 | + | 0.640176i | \(0.778862\pi\) | |||||||
\(888\) | −5.23205 | + | 9.06218i | −0.175576 | + | 0.304107i | ||||
\(889\) | 13.0718i | 0.438414i | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.09808 | + | 2.36603i | 0.137291 | + | 0.0792648i | ||||
\(892\) | − | 13.0718i | − | 0.437676i | ||||||
\(893\) | −5.19615 | + | 9.00000i | −0.173883 | + | 0.301174i | ||||
\(894\) | 1.40192 | + | 2.42820i | 0.0468873 | + | 0.0812113i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.732051 | −0.0244561 | ||||||||
\(897\) | 21.4641 | − | 6.19615i | 0.716665 | − | 0.206884i | ||||
\(898\) | 23.3205 | 0.778215 | ||||||||
\(899\) | −11.6603 | + | 6.73205i | −0.388891 | + | 0.224526i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.526279 | + | 0.911543i | −0.0175329 | + | 0.0303679i | ||||
\(902\) | − | 53.9090i | − | 1.79497i | ||||||
\(903\) | 4.85641 | + | 2.80385i | 0.161611 | + | 0.0933062i | ||||
\(904\) | −16.1603 | − | 9.33013i | −0.537482 | − | 0.310315i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −1.63397 | + | 2.83013i | −0.0542852 | + | 0.0940247i | ||||
\(907\) | −7.80385 | − | 13.5167i | −0.259123 | − | 0.448813i | 0.706885 | − | 0.707329i | \(-0.250100\pi\) |
−0.966007 | + | 0.258516i | \(0.916767\pi\) | |||||||
\(908\) | −1.56218 | + | 0.901924i | −0.0518427 | + | 0.0299314i | ||||
\(909\) | 11.9282 | 0.395634 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −9.46410 | −0.313560 | −0.156780 | − | 0.987634i | \(-0.550111\pi\) | ||||
−0.156780 | + | 0.987634i | \(0.550111\pi\) | |||||||
\(912\) | −1.09808 | + | 0.633975i | −0.0363609 | + | 0.0209930i | ||||
\(913\) | 24.1244 | + | 41.7846i | 0.798400 | + | 1.38287i | ||||
\(914\) | 9.33013 | − | 16.1603i | 0.308613 | − | 0.534534i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −13.7321 | − | 7.92820i | −0.453720 | − | 0.261955i | ||||
\(917\) | −8.53590 | − | 4.92820i | −0.281880 | − | 0.162744i | ||||
\(918\) | − | 2.26795i | − | 0.0748535i | ||||||
\(919\) | 28.9808 | − | 50.1962i | 0.955987 | − | 1.65582i | 0.223894 | − | 0.974613i | \(-0.428123\pi\) |
0.732093 | − | 0.681205i | \(-0.238544\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −7.43782 | + | 4.29423i | −0.245085 | + | 0.141500i | ||||
\(922\) | 25.7321 | 0.847440 | ||||||||
\(923\) | 1.26795 | + | 4.39230i | 0.0417351 | + | 0.144574i | ||||
\(924\) | 3.46410 | 0.113961 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 14.0263 | + | 24.2942i | 0.460932 | + | 0.798358i | ||||
\(927\) | 9.36603 | − | 16.2224i | 0.307621 | − | 0.532815i | ||||
\(928\) | − | 2.46410i | − | 0.0808881i | ||||||
\(929\) | −8.00962 | − | 4.62436i | −0.262787 | − | 0.151720i | 0.362818 | − | 0.931860i | \(-0.381815\pi\) |
−0.625605 | + | 0.780140i | \(0.715148\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 8.19615i | 0.268618i | ||||||||
\(932\) | 9.92820 | − | 17.1962i | 0.325209 | − | 0.563279i | ||||
\(933\) | −7.83013 | − | 13.5622i | −0.256347 | − | 0.444006i | ||||
\(934\) | 10.9019 | − | 6.29423i | 0.356722 | − | 0.205953i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 1.00000 | + | 3.46410i | 0.0326860 | + | 0.113228i | ||||
\(937\) | −43.2487 | −1.41287 | −0.706437 | − | 0.707776i | \(-0.749699\pi\) | ||||
−0.706437 | + | 0.707776i | \(0.749699\pi\) | |||||||
\(938\) | 7.05256 | − | 4.07180i | 0.230274 | − | 0.132949i | ||||
\(939\) | −6.73205 | − | 11.6603i | −0.219692 | − | 0.380518i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 56.6410i | − | 1.84644i | −0.384267 | − | 0.923222i | \(-0.625546\pi\) | ||
0.384267 | − | 0.923222i | \(-0.374454\pi\) | |||||||
\(942\) | −20.4282 | − | 11.7942i | −0.665587 | − | 0.384277i | ||||
\(943\) | 61.1314 | + | 35.2942i | 1.99071 | + | 1.14934i | ||||
\(944\) | − | 8.00000i | − | 0.260378i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 18.1244 | + | 31.3923i | 0.589274 | + | 1.02065i | ||||
\(947\) | 30.2487 | − | 17.4641i | 0.982951 | − | 0.567507i | 0.0797913 | − | 0.996812i | \(-0.474575\pi\) |
0.903160 | + | 0.429305i | \(0.141241\pi\) | |||||||
\(948\) | −9.46410 | −0.307380 | ||||||||
\(949\) | −24.3301 | + | 25.2846i | −0.789789 | + | 0.820773i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.89230 | − | 1.66987i | 0.0937894 | − | 0.0541493i | ||||
\(952\) | −0.830127 | − | 1.43782i | −0.0269046 | − | 0.0466001i | ||||
\(953\) | 20.7846 | − | 36.0000i | 0.673280 | − | 1.16615i | −0.303689 | − | 0.952771i | \(-0.598218\pi\) |
0.976969 | − | 0.213383i | \(-0.0684483\pi\) | |||||||
\(954\) | 0.464102i | 0.0150258i | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −8.36603 | − | 4.83013i | −0.270577 | − | 0.156217i | ||||
\(957\) | 11.6603i | 0.376922i | ||||||||
\(958\) | 13.2679 | − | 22.9808i | 0.428668 | − | 0.742475i | ||||
\(959\) | −0.705771 | − | 1.22243i | −0.0227905 | − | 0.0394744i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.14359 | 0.0368901 | ||||||||
\(962\) | 36.2487 | − | 10.4641i | 1.16871 | − | 0.337376i | ||||
\(963\) | 0.196152 | 0.00632092 | ||||||||
\(964\) | −15.2321 | + | 8.79423i | −0.490591 | + | 0.283243i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −2.26795 | + | 3.92820i | −0.0729701 | + | 0.126388i | ||||
\(967\) | 18.8756i | 0.607000i | 0.952831 | + | 0.303500i | \(0.0981552\pi\) | ||||
−0.952831 | + | 0.303500i | \(0.901845\pi\) | |||||||
\(968\) | 9.86603 | + | 5.69615i | 0.317106 | + | 0.183081i | ||||
\(969\) | −2.49038 | − | 1.43782i | −0.0800026 | − | 0.0461895i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 9.12436 | − | 15.8038i | 0.292815 | − | 0.507170i | −0.681660 | − | 0.731669i | \(-0.738741\pi\) |
0.974474 | + | 0.224500i | \(0.0720748\pi\) | |||||||
\(972\) | −0.500000 | − | 0.866025i | −0.0160375 | − | 0.0277778i | ||||
\(973\) | −6.24871 | + | 3.60770i | −0.200324 | + | 0.115657i | ||||
\(974\) | −21.1244 | −0.676868 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.19615 | 0.0382879 | ||||||||
\(977\) | −27.7750 | + | 16.0359i | −0.888601 | + | 0.513034i | −0.873485 | − | 0.486852i | \(-0.838145\pi\) |
−0.0151161 | + | 0.999886i | \(0.504812\pi\) | |||||||
\(978\) | −3.26795 | − | 5.66025i | −0.104497 | − | 0.180995i | ||||
\(979\) | −6.00000 | + | 10.3923i | −0.191761 | + | 0.332140i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.73205 | + | 2.73205i | 0.151083 | + | 0.0872277i | ||||
\(982\) | −4.56218 | − | 2.63397i | −0.145585 | − | 0.0840535i | ||||
\(983\) | − | 20.7846i | − | 0.662926i | −0.943468 | − | 0.331463i | \(-0.892458\pi\) | ||
0.943468 | − | 0.331463i | \(-0.107542\pi\) | |||||||
\(984\) | −5.69615 | + | 9.86603i | −0.181587 | + | 0.314517i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 4.83975 | − | 2.79423i | 0.154129 | − | 0.0889864i | ||||
\(987\) | −6.00000 | −0.190982 | ||||||||
\(988\) | 4.43782 | + | 1.09808i | 0.141186 | + | 0.0349345i | ||||
\(989\) | −47.4641 | −1.50927 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.29423 | + | 7.43782i | 0.136411 | + | 0.236270i | 0.926135 | − | 0.377191i | \(-0.123110\pi\) |
−0.789725 | + | 0.613461i | \(0.789777\pi\) | |||||||
\(992\) | 2.73205 | − | 4.73205i | 0.0867427 | − | 0.150243i | ||||
\(993\) | − | 20.0000i | − | 0.634681i | ||||||
\(994\) | −0.803848 | − | 0.464102i | −0.0254965 | − | 0.0147204i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | − | 10.1962i | − | 0.323077i | ||||||
\(997\) | 19.3301 | − | 33.4808i | 0.612191 | − | 1.06035i | −0.378679 | − | 0.925528i | \(-0.623622\pi\) |
0.990870 | − | 0.134818i | \(-0.0430451\pi\) | |||||||
\(998\) | −16.0000 | − | 27.7128i | −0.506471 | − | 0.877234i | ||||
\(999\) | −9.06218 | + | 5.23205i | −0.286715 | + | 0.165535i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))